How shape anisotropy affects the permittivity of lossy heterostructures?

The goal of this paper is to analyze how the permittivity of two-component heterostructures, composed of inclusions of permittivity ε₁ embedded in a host matrix of permittivity ε ₂, is affected by varying the shape anisotropy of rodlike inclusions. For this purpose, a single set of permittivities was investigated: ε₁=80-i100 and ε₂=2-i0. We found that the percolation threshold concentration is strongly dependent of the inclusions shape. New findings concerning the influence of the radius-to-length ratio and of the angle of orientation of the rodlike inclusion with respect to the direction of the electric field are identified. We measured the exponents s and t which determine how the real and imaginary parts of the effective permittivity scale with the distance from the percolation threshold. Moreover, the scaling behavior of conductivity which is observed from these simulation data provides insight for the modeling of the underlying physics behind percolation behavior in these systems